Question

free response questions

1. if ∠day is a right - angle and (mangle day=\frac{1}{2}x + 34), then what is the value of x?

Explanation:

Step1: Recall right - angle measure

A right - angle has a measure of 90 degrees. So, we set up the equation $\frac{1}{2}x + 34=90$.

Step2: Isolate the term with x

Subtract 34 from both sides of the equation: $\frac{1}{2}x=90 - 34$.
$\frac{1}{2}x=56$.

Step3: Solve for x

Multiply both sides of the equation by 2 to get $x = 56\times2$.
$x = 112$.

Answer:

$x = 112$